Two convex lenses of same focal length but of apertures `A_1 and A_2 (A_2 < A_1)`, are used as the objective lenses in two astronomical telescopes having identical eyepieces. What is the ratio of their resolving power? Which telescope will you prefer and why? Give

Question

Two convex lenses of same focal length but of apertures `A_1 and A_2 (A_2 < A_1)`, are used as the objective lenses in two astronomical telescopes having identical eyepieces. What is the ratio of their resolving power? Which telescope will you prefer and why? Give reason.